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4 years ago

What are the values of the three trigonometric ratios for angle L, in simplest form?

Mathematics

2 answers:

Oxana [17]4 years ago

7 0

The correct answer's are:

sin(L) = 4/5

cos(L) = 3/5

tan(L) = 4/3

viva [34]4 years ago

6 0

Answer:

4/5, 3/5, 4/3

Step-by-step explanation:

You might be interested in

In Exercise, evaluate each expression. 643/4

Goshia [24]

Answer:

$\\ 64^{\frac{3}{4}} = 16\sqrt{2}$

Step-by-step explanation:

We need here to remember that:

$\\{(x^{a})}^{b} = x^{a * b}$

$\\{x^{a} * x^{b} = x^{a + b}$

Then,

$\\ 64^{\frac{3}{4}} = {(8^{2})}^{(\frac{3}{4})} = {{(2^{3})}^{2}}^\frac{3}{4}$

$\\ 64^{\frac{3}{4}} = {{2^{3}}^2}^\frac{3}{4} = 2^\frac{3*2*3}{4}$

$\\ 64^{\frac{3}{4}} = 2^\frac{2*3*3}{4} = 2^\frac{3*3}{2} = 2^\frac{9}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}}$

Since $\\ \frac{9}{2} = \frac{4}{2} + \frac{4}{2} + \frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}} = {2^{(\frac{4}{2} + \frac{4}{2} + \frac{1}{2})}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{4}{2}} * 2^{\frac{4}{2}} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{2} * 2^{2} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 4 * 4 * \sqrt{2} = 16 \sqrt{2}$

5 0

3 years ago

I will give BRAINLIEST:)

Amiraneli [1.4K]

Answer:

A'C'=AC=3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of

Effectus [21]

Answer:

(a) Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.

(b) Approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1

Let X = the blood platelet counts of a group of women

So, X ~ Normal( $\mu=257.62, \sigma^{2} =62.1^{2}$ )

Now, the empirical rule states that;

68% of the data values lie within the 1 standard deviation of the mean.

95% of the data values lie within the 2 standard deviations of the mean.

99.7% of the data values lie within the 3 standard deviations of the mean.

(a) The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 is 68% according to the empirical rule.

(b) The approximate percentage of women with platelet counts between 71.3 and 443.9 is given by;

z-score of 443.9 = $\frac{X-\mu}{\sigma}$